Esercizio
$\frac{\left(n^5+1\right)}{\left(n^2+1\right)}$
Soluzione passo-passo
1
Dividere $n^5+1$ per $n^2+1$
$\begin{array}{l}\phantom{\phantom{;}n^{2}+1;}{\phantom{;}n^{3}\phantom{-;x^n}-n\phantom{;}\phantom{-;x^n}}\\\phantom{;}n^{2}+1\overline{\smash{)}\phantom{;}n^{5}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}+1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}n^{2}+1;}\underline{-n^{5}\phantom{-;x^n}-n^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-n^{5}-n^{3};}-n^{3}\phantom{-;x^n}\phantom{-;x^n}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}n^{2}+1-;x^n;}\underline{\phantom{;}n^{3}\phantom{-;x^n}+n\phantom{;}\phantom{-;x^n}}\\\phantom{;\phantom{;}n^{3}+n\phantom{;}-;x^n;}\phantom{;}n\phantom{;}+1\phantom{;}\phantom{;}\\\end{array}$
$n^{3}-n+\frac{n+1}{n^2+1}$
Risposta finale al problema
$n^{3}-n+\frac{n+1}{n^2+1}$